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Finding the Fourth Proportional to 462.67, 693.66 and 280.02

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Solution

The fourth proportional to 462.67, 693.66 and 280.02 is: 419.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.67 : 693.66 = 280.02 : x
  2. Step 2: Convert to fraction form
    462.67/693.66 = 280.02/x
  3. Step 3: Cross multiply
    462.67x = 693.66 × 280.02
  4. Step 4: Simplify right side
    462.67x = 194,239.89
  5. Step 5: Solve for x
    x = 194,239.89/462.67
  6. Step 6: Final answer
    x = 419.82

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